If France defaults, can the European Central Bank handle it?

‌Unlike the situation with Greece, France's economy is ten times larger than Greece's.
Looking at the current protests in France, it seems they won't accept the European Central Bank's reform plans.
Furthermore, not only France but also the government bond yields of Southern European countries are rising simultaneously,
so they cannot afford to spend all their funds on France, as they must also prepare for potential defaults in Southern Europe.
In Greece, they even held a referendum where people voted in favor of leaving the Eurozone, but perhaps because their leader was relatively sane
or because they knew they were at a total disadvantage, they accepted the reform plans and chose to stay in the Euro.
I am worried that if France holds a referendum and a high percentage votes to leave, they might actually exit.
The UK also held a Brexit vote, and after a high percentage voted to leave, they exited and are still struggling today.
I feel like France won't accept the reform plans due to their pride in being the best in Europe,
but I also doubt whether the European Central Bank would provide much in the way of debt relief.
Germany is naturally an inflexible country, so they will likely present strict standards and go into "no-nonsense" mode.
Many Southern European countries have a history of suffering during the previous financial crisis,
and since it was Germany and France that demanded the reforms, they likely won't give France any special treatment.
In the end, won't the worst-case scenario conclude with France leaving the Eurozone?
The likely candidates for next year's presidential election are either the far-right Le Pen or the far-left Mélenchon,
and I heard both have mentioned that they should leave because they are negative toward the Eurozone.
Regardless of the outcome, it looks like stocks are going to be cut in half.